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Solve the given differential equation x^2y'' + xy' + 4y = 0

Solve the given differential equation x^2y'' + xy' + 4y = 0

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Solve the given differential equation x^2y'' + xy' + 4y = 0

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x^2y'' + 6xy' + 4y = x^2 Use the substitution x = e^t to transform the given Cauchy-Euler equation to a differential equation with constant coefficients. (Use yp for dy/dt and ypp for d2y/dt2). Solve the original equation by solving the new equation using the procedures in Sections 4.3-4.5.
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